Time trend of malaria in relation to climate variability in Papua New Guinea

Article information

Environ Health Toxicol. 2016;31.e2016003
Publication date (electronic) : 2016 February 25
doi : https://doi.org/10.5620/eht.e2016003
1Department of Microbiology, Graduate School of Medicine, Gachon University of Medicine and Science, Incheon, Korea
2Department of Social and Preventive Medicine, Sungkyunkwan University School of Medicine, Suwon, Korea
3Graduate School of Comprehensive Human Sciences, University of Tsukuba, Ibaraki, Japan
4Department of Preventive Medicine, Dankook University College of Medicine, Cheonan, Korea
5Department of Biostatistics and Epidemiology, Graduate School of Public Health, and Institute of Public Health and Environment, Seoul National University, Seoul, Korea
6National Department of Health, Port Moresby, Papua New Guinea
7National Weather Service, Port Moresby, Papua New Guinea
8Papua New Guinea Institute of Medical Research, Goroka, Papua New Guinea
Correspondence: Hae-Kwan Cheong, 2066 Seobu-ro, Jangan-gu, Suwon 16419, Korea Tel: +82-31-299-6300 Fax:+82-31-299-6299 E-mail: hkcheong@skku.edu
Received 2015 October 15; Accepted 2016 February 17.

Abstract

Objectives

This study was conducted to describe the regional malaria incidence in relation to the geographic and climatic conditions and describe the effect of altitude on the expansion of malaria over the last decade in Papua New Guinea.

Methods

Malaria incidence was estimated in five provinces from 1996 to 2008 using national health surveillance data. Time trend of malaria incidence was compared with rainfall and minimum/maximum temperature. In the Eastern Highland Province, time trend of malaria incidence over the study period was stratified by altitude. Spatio-temporal pattern of malaria was analyzed.

Results

Nationwide, malaria incidence was stationary. Regionally, the incidence increased markedly in the highland region (292.0/100000/yr, p =0.021), and remained stationary in the other regions. Seasonality of the malaria incidence was related with rainfall. Decreasing incidence of malaria was associated with decreasing rainfall in the southern coastal region, whereas it was not evident in the northern coastal region. In the Eastern Highland Province, malaria incidence increased in areas below 1700 m, with the rate of increase being steeper at higher altitudes.

Conclusions

Increasing trend of malaria incidence was prominent in the highland region of Papua New Guinea, while long-term trend was dependent upon baseline level of rainfall in coastal regions.

Introduction

Malaria is a representative infectious disease that manifests as a health effect of climate change in the tropical regions [1,2]. In response to the vigorous effort to eliminate malaria world-wide, overall incidence of malaria is decreasing in most of the regions except in sub-Saharan Africa [3]. However, with the global climate change over the coming decades, geographic boundary of the malaria endemicity is expected to expand from tropical and subtropical areas to the temperate areas [4]. In the tropical areas, upper limit of malaria endemicity is gradually encroaching on higher altitudes in mountainous regions [5]. This latitude-wise and altitude-wise expansion is related with increasing atmospheric temperature and rainfall, which facilitates the survival of the vector mosquitoes [2,6]. However, in some tropical areas, incidence of malaria is expected to decrease in accordance with decreased rainfall, which represents reverse direction of favorable health effects of climate change, according to the Intergovernmental Panel on Climate Change [6].

Most of the malaria studies in relation to the climate change have been reported from African and South American countries [7,8], and there are few from tropical Asian and Pacific countries [9]. Tropical areas of the Asia-Pacific are strategically important in malaria control because of its heavy population burden of 1.6 billion people, comprising 60% of population living in the tropical areas, frequent traffic with developed countries in temperate region, and rapid environmental changes with accelerated economic development [10].

Papua New Guinea (PNG) is a country with one of the highest prevalence of malaria in the Asia-Pacific [3] and malaria takes the highest burden of disease in this country [11,12]. World Health Organization reports that there are 1.3 million of cases with 3100 deaths per year in PNG as of 2013 [13]. Among the population, 7 out of 7.4 million people are living in the high transmission area, with an incidence more than 1 case per 1000 population per year. More than 80% of the cases are from Plasmodium falcifarum [13].

Because of its diversity in geography, land use, climate, and ethnicity, as well as high vulnerability with low adaptive capacity, PNG provides a window to assess the impact of climate variability on the malaria incidence. Whereas there are numerous in depth descriptions of the epidemiology of malaria in PNG [14-16], to-date, study on the concurrent time trend in malaria incidence and changing patterns of rainfall and temperatures have not been reported. This study assessed the trends of malaria incidence over the last decade in PNG, with a particular focus on the highland region, taking both long-term climate variability and geographic properties into account.

Materials and Methods

Basic Characteristics of Papua New Guinea

PNG is a tropical country that lies beneath the western equatorial Pacific, comprised of the eastern half of New Guinea Island and adjacent islands. Geographically, PNG is comprised of four distinct regions; southern coastal, highland, northern coastal, and island region (Figure 1). PNG is remarkable in its diversity in terms of geography, ecosystem, and ethnicity [17,18]. It is vulnerable to the health impacts of climate change, because of its geographic location, poor health sector infrastructure, and strong dependence on a traditional way of life with a rapidly increasing population.

Figure 1.

Administrative map of Papua New Guinea. It is divided into four main regions, southern coastal, highland, northern coastal, and island region. Dots represent the main cities in which weather data was collected.

The total population of PNG is 6 million [19] with a land area of 462840 km2. Most of the land area is covered by tropical rain forest along the mountains that forms the vertebra of New Guinea Island. Mountain ranges reach 4500 m in altitude with permanent settlements found up to an altitude of 2200 m to 2400 m. The climate varies markedly across the country. The temperature in the coastal areas remains fairly constant year-round, dropping as altitude rises in the highland region. In most areas of PNG, the amount of rainfall is very heavy, reaching up to 4000 mm annually in the southwestern and northern coastal regions. However, in the southern coastal region, the area surrounding the National Capital District it is drier and is classified as savannah. Two prominent seasons exist throughout PNG, i.e., dry and wet seasons, but the extent of seasonality varies greatly with seasonality greatest in part of the Western Province and National Capital District.

We selected five areas for the study area; two (Daru, southern part of Western Province and Port Moresby, National Capital District) from southern coastal, one (Goroka, Eastern Highland Province) from highland, two (Madang, Madang Province; and Wewak, East Sepik Province) from northern coastal region. Among four geographic regions, island region was not included, because weather data was not available for the provinces in the island region. We took the diversity in climate and geography as well as socioeconomic and sociocultural aspect into account. According to the availability of the data, study period was between 1996 and 2008 over 13 years.

Status of Malaria in Papua New Guinea

Annual and monthly malaria data were obtained from the National Health Information System (NHIS) of PNG [18]. NHIS is a computerized national database based on the monthly report of morbidity (both inpatients and outpatients) from nationwide health facilities including hospitals, health centers, sub-health centers, and aid posts. Monthly reports from each health facility are collected at provincial health information centers, where data are added to the computerized database that is electronically reported to the National Department of Health of PNG to generate national and regional statistics. List of diseases includes major infectious diseases, health indices related to maternal and children’s health, and injuries.

The number of malaria patients is collected as a routine monthly report from all the facilities via district to provincial health authorities. Malaria data include number of inpatient and outpatient cases based on clinical findings, rapid diagnostic test findings, laboratory findings, and number of deaths. Age and gender of the patients are also reported in a frequency distribution in each health facility. Most of the country’s health facilities are staffed by community health practitioners and nurses and have no facilities for parasitological diagnosis of malaria. As a consequence, between 2000 and 2009, only 5% to 8% of suspected malaria cases in PNG were assessed either by microscopy or rapid diagnostic test with an average positivity of 37% (range, 33% to 51%) [3]. The data in the NHIS therefore represents the total burden of malaria cases (probable and confirmed) treated by the national health system. While the diagnostic accuracy of the NHIS is thus limited, the consistency of the NHIS as a whole was nevertheless acceptable for surveillance purposes [18]. Population data for each province and district based on National Demographic and Health Survey from 1996 to 2008 was also available from NHIS [18]. We calculated the malaria incidence using data of malaria cases and the number of population in the corresponding region and period.

Climate and Geographic Data

Data for temperature and rainfall were obtained directly from the National Weather Service, which cover long-term periods including monthly maximum and minimum temperature, and rainfall from 14 weather posts nationwide. Most of the weather posts are located in coastal and island regions, with only one weather post located in the highland region (Goroka, Eastern Highland Province). Furthermore, the highland post had many months of missing data, especially for rainfall (Figure S1).

A nationwide district map was available in electronic form from the National Mapping Bureau. Geographical data regarding the altitude of health facilities were collected from the National Mapping Bureau and Provincial Health Information System of the Eastern Highland Province. For the Eastern Highland Province, total area map, administrative units, facilities, and topographic data were available in electronic form. Topography of the Eastern Highland Province and the altitude map of each health facility were generated by ArcGIS version 9.3 (Environmental System Research Institute, Redlands, CA, USA).

Statistical Analysis

We integrated malaria incidence and climate index in the corresponding region and period to ascertain the effect of climate on malaria occurrence in PNG. We also integrated the Eastern Highland Province topography and altitude map to trace the expansion of malaria occurrence in accordance with long-term climate trend in PNG. The time trends of malaria occurrence were tested using linear regression analysis. All analyses were performed using SPSS version 17.0 (SPSS Inc., Chicago, IL, USA) with a statistical significance level of 0.05.

Results

Time Trend of Malaria Incidence

During the observation period from 1997 to 2008, a small, statistically non-significant decrease in national wide malaria incidence was observed (-190.8 cases/100000/yr, p= 0.200) (Figure 2). When analyzed by region, there was a significant decrease in incidence was observed for the southern coastal region (-921.3 cases/100000/yr, p= 0.0024), whereas in highland region there was a significant increase (292.0 cases/100000/yr, p= 0.0204). Malaria incidence remained steady in the other regions (p< 0.05).

Figure 2.

Time trend of annual malaria incidence of four geographic regions in Papua New Guinea from 1996-2008. Average increase of malaria incidence in each region was; -921.3/100000/yr (p=0.002) in the southern coastal region, 292.0/100000/yr (p=0.021) in the highland region, -52.4/100000/yr (p=0.727) in the northern coastal region, -659.2/100000/yr (p=0.154) in the island region, and -190.8/100000/yr (p=0.200) nationwide. Increase of incidence was significant only in highland region and there was a significant decrease in island region.

Both in the coastal and highland regions, malaria occurrence displayed a strong seasonality related to rainfall, however, the pattern was different. In the Eastern Highland Province, malaria occurrence usually peaked during the late wet season or the early dry season, whereas in the northern coastal region, the peak occurred during the early wet season. In the southern coastal region, malaria incidence was stationary during the wet season and reached the lowest point in the late dry season (Figure 3).

Figure 3.

Seasonal trend of number of malaria cases in (A) Western Province, southern coastal region, (B) National Capital District, southern coastal region, (C) Eastern Highland Province, highland region, (D) East Sepik Province, northern coastal region, and (E) Madang Province, northern coastal region, during 1996-2008. X-axis: month, Y-axis: left, mean malaria incidence per 100000/mo (outpatients), right, rainfall (mm/mo).

Climate and Malaria Incidence

We compared the malaria incidence changes between coastal and highland regions according to the climatic factors including rainfall and temperature. From 1996 to 2008, rainfall decreased in the Western Province, East Sepik Province, and the Madang Province, while it increased in the National Capital District and the Eastern Highland Province, one of highland regions. Among coastal regions, malaria incidence displayed a decreasing tendency in southern coastal regions like the Western Province and the National Capital District. In northern coastal regions, the malaria incidence was slightly decreased in the East Sepik Province, whereas it showed the opposite pattern in the Madang Province. In the Eastern Highland Province, malaria incidence increased sharply during this period (Table 1 and Figure 4). Monthly minimum temperature increased in all areas and monthly maximum temperature also increased in the most areas, except the National Capital District. Temperature rise was most prominent in the highland region. In the Eastern Highland Province, increasing malaria incidence was accompanied by increasing monthly minimum and maximum temperatures. However, changing patterns of malaria incidence in coastal regions were not consistent with the pattern of temperature change (Table 1 and Figure 5).

Time trend of malaria incidence and climatic factors in five areas in Papua New Guinea, 1996-2008

Figure 4.

Changes in annual malaria incidence and rainfall (A) Western Province, southern coastal region, (B) National Capital District, southern coastal region, (C) Eastern Highland Province, highland region, (D) East Sepik Province, northern coastal region, and (E) Madang Province, northern coastal region, during 1996-2008. X-axis: year, Y-axis: left, annual malaria incidence per 100000/yr (outpatients), right: rainfall (mm/mo).

Figure 5.

Changes in annual malaria incidence and monthly average of daily maximum (T max) and minimum (T max) temperature (A) Western Province, southern coastal region, (B) National Capital District, southern coastal region, (C) Eastern Highland Province, highland region, (D) East Sepik Province, northern coastal region, and (E) Madang Province, northern coastal region, during 1996-2008. X-axis: year, Y-axis: left, annual malaria incidence per 100000/yr (outpatients), right, temperature (°C).

Malaria in the Highland Region

In the Eastern Highland Province, malaria incidence was higher at lower altitudes and decreased with increasing altitude. Slope of the time trend of malaria incidence increased as the altitude increases from 465.2/100000/yr (p=0.425) in 1300 m to 875.7/100000/ yr (p=0.002) in 1600 m. However, in areas above 1700 m, the incidence did not increase, indicating the altitude border of malaria in tropical highland region of PNG (Figure 6).

Figure 6.

Time trend of malaria incidence of each health facility in the Eastern Highland Province of highland region, Papua New Guinea, during 1996-2008 by altitude. Estimated slope for each altitude range is; 505.3/100000/yr (p=0.1042) for below 1500 m, 853.7/100000/yr (p=0.0008) for between 1500 m-1699 m, -332.2/100000/yr (p=0.2894) for higher than 1700 m.

In 3-year incidence, only one health facility at altitudes over 1600 m with more than 8000 patients existed from 1996 to 1998 and from 1999 to 2001. The number of such facilities grew to three from 2002 to 2004 and four from 2005 to 2007 (Figure S2). In 5-year incidence, the number of health facilities with the aforementioned criteria increased from three from 1996 to 2000 to five from 2001 to 2005 (data not shown).

Discussion

It has been generally believed that climate change would cause favorable effects as well as adverse effects on malaria [6]. Our study demonstrates that in the malaria endemic areas of the tropical regions (i.e., the coastal regions), temperature changes may have little influence on malaria occurrence, whereas decreased rainfall would reduce habitats of the vector mosquitoes resulting in subsequent decrease of the incidence of malaria. On the contrary, in the border areas of malaria endemic regions, i.e., the higher altitude area within malaria endemic regions and higher latitude regions, temperature rise along with increased rainfall may facilitate proliferation of the vector mosquitoes, which results in increasing malaria incidence.

In the Eastern Highland Province of PNG, the decreasing trend of malaria incidence was prominent in parallel with increasing temperature. Increased rainfall might have expanded habitats of the vector mosquitoes, leading to increased malaria cases in the Eastern Highland Province. Malaria incidence reached its highest peak during the late wet season or the early dry season in this province. To transmit malaria, Plasmodium should undergo the sporogonic cycle in the vector mosquito and the short incubation period in a newly infected human, which takes 3 to 4 weeks in total. Therefore, malaria patients comprising the peak portions may be infected during the midwet season. This implies that sufficient rainfall in the wet season is a prerequisite for the multiplication of the vector mosquitoes in the Eastern Highland Province. The present results strongly suggest that increased rainfall in the highland region is an important determinant of the increased malaria cases in this area. Temperature rise was another contributing factor to increased malaria cases in the Eastern Highland Province. Malaria was not prevalent in the Eastern Highland Province until the 1970s since temperature was too cold to transmit the disease. Since then, the temperature has risen steadily in the highland region, providing a favorable environment for malaria transmission. In the Eastern Highland Province, the altitude border of malaria prevalence has been increasing with the steady rise in temperature and rainfall. As shown in Figure 6, increased malaria incidence was most remarkable at the altitude of 1600 m, while the incidence did not increase at altitude above 1700 m. This implies that a temperature rise caused by climate change has created a more favorable environment for the vector mosquitoes up to an altitude of 1600 m. It is possible that malaria will become more prevalent, even at altitudes of 1700 m or higher if temperature rises further.

Decreasing trend of malaria incidence in relation with changes in climate was not consistent in the coastal regions. Rainfall decreased in most of coastal regions; however, decreased rainfall and malaria incidence was differently associated according to baseline level of rainfall of each area. Decreasing incidence of malaria in parallel with decreasing rainfall was most prominent in the low rainy area like the Western Province where annual rainfall is less than 2000 mm. In this area, decreased malaria incidence was accompanied by decreased rainfall. In an intermediate rainy area such as East Sepik Province, where annual rainfall exceeds 2000 mm, incidence of malaria decreased to a lesser extent than the low rainy area in spite of higher decrease of rainfall compared to the less rainy southern coastal area, which is inconsistent with the changing pattern of rainfall. It implies that in the low and intermediate rainy areas, rainfall might be a more important decisive factor of malaria incidence than temperature, since the minimum and maximum temperatures rose in all the study areas regardless of the change of malaria incidence during the study period. In the heavy rainy areas like the Madang Province, where annual rainfall exceeds 3000 mm, the change of rainfall had little influence on malaria incidence in this area, since the baseline level of rainfall was abundant. We assume that the effect of decreased rainfall on malaria occurrence depends upon the baseline level of rainfall of the areas.

Malaria is one of the indicator vector-borne diseases reflecting climate change, since the proliferation of the major vector, Anopheles mosquitoes, is greatly affected by the natural environment including the climatic factors. Of the climate factors, rainfall, temperature, and humidity have an effect on the proliferation of Anopheles mosquitoes. Development of Anopheles is largely inhibited at a temperature below 10˚C to 16˚C [20], which is the cause of the unstable malaria in the temperate regions. The longevity of the adult Anopheles is also sharply reduced when the mean temperature is above 35˚C or the relative humidity is less than 50% [21]. At temperatures lower than 35˚C, progressively higher temperature is associated with progressively shorter gonotrophic and aquatic cycles become, contributing the proliferation of the vector mosquitoes in a shorter time. Temperature rise may have stronger effects in high altitude areas within a malaria endemic region or in high latitude areas where activities of vector mosquitoes are restricted by cold temperatures, than in tropical regions where the temperature is already high enough to support malaria transmission [4,21]. Rainfall also affects the population of vector mosquitoes. Increased rainfall provides the vector mosquitoes with a favorable environment for their proliferation, especially in dry areas; however, too much rainfall can wash the larvae out of the flooded rivers reducing the population of vector mosquitoes [22].

Concerning the estimation of malaria incidence based on NHIS dataset of PNG, the validity of the data can be questioned. Diagnosis of malaria is mostly based on the clinical findings and there are few cases based on the laboratory confirmation or rapid diagnostic tests. False positive diagnosis, i.e., other febrile illnesses and other microbial diseases such as dengue fever and Japanese encephalitis, as well as underdiagnosis, cannot be excluded. In the highland region of PNG, where malaria is still rare, it is conceivable that the diagnostic validity of health personnel may be different from hyperendemic coastal regions. However, we found the data were quite consistent at the provincial or national level over decades [23]. Since the national health statistics are also based on NHIS, the dataset proved to be the acceptable for the evaluation of long-term trend of malaria in PNG. Malaria incidence is also affected by many factors including socioeconomic changes, development, migration, and malaria control program [4,8,9]. We could not get detailed information about the intervention program in each province. However, basic health indices in this country did not show a substantial difference over decades and indices related with funding and other eradication activities for malaria has been stable over the study period [3].

In conclusion, increasing trend of malaria was prominent in highland region of PNG, which might be ascribed to increased temperature and rainfall. The altitude border of malaria has been elevated in the Eastern Highland Province as climate change has progressed. Decreasing incidence of malaria was shown in the low and the intermediate rainy coastal areas, whereas it was not distinct in the heavy rainy coastal areas yet. However, if rainfall decreases steadily due to further climate change, malaria occurrence may shift to the decreasing phase, even in heavy rainfall areas. Considering the relative scarcity of reports on malaria epidemiology in tropical Asia, this study provides changes in the trend of malaria incidence in relation to changes in the climate in this region. Also, it provides an evidence on the mainstreaming the climate change on the strengthening the surveillance system in the vulnerable countries.

Acknowledgements

This study was supported by WHO/ WPRO Project for the Support of National Action Plan for the Climate Change and Health (WPDHP 1002490, APW 2009/42416-0 and 2010/60502-0).

Notes

The authors have no conflicts of interest associated with material presented in this paper.

Supplementary Material

Figure S1.

Time trend of monthly malaria cases and climate factors and oceanic surface temperature variations according to regions (A) Port Moresby, (B) Daru, (C) Central, (D) Goroka, (E) Madang, and (F) Wewak. Oceanic surface temperature were presented by southern oscillation index (SOI) and dipole mode index (DMI) in (G). T min, monthly average of daily minimum temperature; T max, monthly average of daily maximum temperature.

eht-31-e2016003-supple1.pdf
Figure S2.

Malaria incidence of each health facility in the Eastern Highland Province of highland region during 1996-2007. In 3-year incidence, the number of health facilities at the altitude over 1600 m with more than 8000 patients was only one during 1996-1998 (A) and 1999-2001 (B), respectively, and increased to three during 2002-2004 (C) and up to four during 2005-2007 (D).

eht-31-e2016003-supple2.pdf

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Article information Continued

Figure 1.

Administrative map of Papua New Guinea. It is divided into four main regions, southern coastal, highland, northern coastal, and island region. Dots represent the main cities in which weather data was collected.

Figure 2.

Time trend of annual malaria incidence of four geographic regions in Papua New Guinea from 1996-2008. Average increase of malaria incidence in each region was; -921.3/100000/yr (p=0.002) in the southern coastal region, 292.0/100000/yr (p=0.021) in the highland region, -52.4/100000/yr (p=0.727) in the northern coastal region, -659.2/100000/yr (p=0.154) in the island region, and -190.8/100000/yr (p=0.200) nationwide. Increase of incidence was significant only in highland region and there was a significant decrease in island region.

Figure 3.

Seasonal trend of number of malaria cases in (A) Western Province, southern coastal region, (B) National Capital District, southern coastal region, (C) Eastern Highland Province, highland region, (D) East Sepik Province, northern coastal region, and (E) Madang Province, northern coastal region, during 1996-2008. X-axis: month, Y-axis: left, mean malaria incidence per 100000/mo (outpatients), right, rainfall (mm/mo).

Figure 4.

Changes in annual malaria incidence and rainfall (A) Western Province, southern coastal region, (B) National Capital District, southern coastal region, (C) Eastern Highland Province, highland region, (D) East Sepik Province, northern coastal region, and (E) Madang Province, northern coastal region, during 1996-2008. X-axis: year, Y-axis: left, annual malaria incidence per 100000/yr (outpatients), right: rainfall (mm/mo).

Figure 5.

Changes in annual malaria incidence and monthly average of daily maximum (T max) and minimum (T max) temperature (A) Western Province, southern coastal region, (B) National Capital District, southern coastal region, (C) Eastern Highland Province, highland region, (D) East Sepik Province, northern coastal region, and (E) Madang Province, northern coastal region, during 1996-2008. X-axis: year, Y-axis: left, annual malaria incidence per 100000/yr (outpatients), right, temperature (°C).

Figure 6.

Time trend of malaria incidence of each health facility in the Eastern Highland Province of highland region, Papua New Guinea, during 1996-2008 by altitude. Estimated slope for each altitude range is; 505.3/100000/yr (p=0.1042) for below 1500 m, 853.7/100000/yr (p=0.0008) for between 1500 m-1699 m, -332.2/100000/yr (p=0.2894) for higher than 1700 m.

Table 1.

Time trend of malaria incidence and climatic factors in five areas in Papua New Guinea, 1996-2008

Province (City) Region Annual average (1996-2008)
Average increase/yr (%)
Incidence (/100000/yr) Rainfall (mm/yr) T min (°C) T max °C) Incidence (/100000/yr) Rainfall (mm/yr) T min (°C) T max (°C)
Western Province (Daru) Southern coastal 37646 1856 24.2 30.1 -3.05 -1.36 0.129 0.023
National Capital District (Port Moresby) Southern coastal 24126 1240 23.6 31.3 -6.05 0.43 0.130 -0.054
Eastern Highland Province (Goroka) Highland 9319 1828 15.5 26.4 4.75 3.15 0.300 0.148
East Sepik Province (Wewak) Northern coastal 34313 2269 24.2 30.9 -0.48 -1.69 0.072 0.130
Madang Province (Madang) Northern coastal 29875 3394 24.0 30.9 0.51 -0.34 0.323 0.107

Malaria incidence data came from each province, and rainfall and temperature data were obtained from the weather post located in cities in the parentheses. T min, monthly average of daily minimum temperature; T max, monthly average of daily maximum temperature.